Greatest Common Factor of 1360 and 1361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1360, 1361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1360 and 1361 is 1.

GCF(1360,1361) = 1

GCF of 1360 and 1361

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1360 and 1361

GCF of 1360 and 1361 is 1

Prime Factorization of 1360


2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 1360 are 2,5,17. Prime factorization of 1360 in exponential form is:

1360 = 24×51×171

Prime Factorization of 1361


1361 1361
1

Prime factors of 1361 are 1361. Prime factorization of 1361 in exponential form is:

1361 = 13611

∴ So by taking common prime factors GCF of 1360 and 1361 is 1

Greatest Common Factor of 1360 and 1361 by matching factors method

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360

Factors of 1361

List of positive integer factors of 1361 that divides 1361 without a remainder.

1,1361

Greatest Common Factor

We found the factors and prime factorization of 1360 and 1361. The biggest common factor number is the GCF number.
So the greatest common factor 1360 and 1361 is 1.

Also check out the Least Common Multiple of 1360 and 1361

Properties of GCF 1360 and 1361

(i) The GCF of 1360 and 1361 is associative

GCF of 1360 and 1361 = GCF of 1361 and 1360

Related Greatest Common Factor of 1360

Related Greatest Common Factor of 1361

Frequently Asked Questions on GCF of 1360 and 1361

1. What is the GCF of 1360 and 1361?

Answer: GCF of 1360 and 1361 is 1.

2. What are the Factors of 1360?

Answer: Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. There are 20 integers that are factors of 1360. The greatest factor of 1360 is 1360.

3. What are the Factors of 1361?

Answer: Factors of 1361 are 1, 1361. There are 2 integers that are factors of 1361. The greatest factor of 1361 is 1361.

4. How to Find the GCF of 1360 and 1361?

Answer:

Greatest Common Factor of 1360 and 1361 = 1

Step 1: Find the prime factorization of 1360

1360 = 2 x 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 1361

1361 = 1361

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1360 and 1361 is 1